Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
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<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
_____
Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
Answer:
8
Step-by-step explanation:
total number of pencils = 186
number of students = 23
number of pencils each student gets = number of pencils ÷ number of pencils
=186/23
=8.08
so each student gets 8 pencils
Answer:
82 in^3
Step-by-step explanation:
3 x 2 x 7 + 2 x 2 x 10 = 82 in^3
Answer:
y = -8x -3
Step-by-step explanation:
To find the y intercept of a basic y = mx + b equation you simply find the constant (In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number). To find the slope of a basic y = mx + b equation find the value of m. The value of m will be the slope.
we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
<h3>
Which function is the one described by the table?</h3>
A general linear equation is given by:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through (x₁, y₁) and (x₂, y₂), then the slope is given by:
Here we can use just the first two points on the given line:
(-8, -2) and (-4, 0)
Then the slope will be:
Then the linear equation is something like:
y = (1/2)*x + b
To find the value of b, we can use one of the two given points, I will use (-4, 0), then:
0 = (1/2)*(-4) + b
0 = -2 + b
2 = b
Then we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
Then the correct option is the first one.
If you want to learn more about linear equations:
brainly.com/question/1884491
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